Mike Roth

collaborators

3 papers

math.AG2025

Reduced Äech complexes and computing higher direct images under toric maps

Mike Roth, Sasha Zotine

This paper has three main goals : (1) To give an axiomatic formulation of the construction of "reduced Äech complexes", complexes using fewer than the usual number of intersection…

math.AG2025

Homeomorphism type of the non-negative part of a complete toric variety

Mike Roth

In this note we show that the nonnegative part of a proper complex toric variety has the homeomorphism type of a sphere, and consequently that the nonnegative part has a natural st…

math.AG2024

Seshadri constants on $P^{1} \times P^{1}$ , and applications to the symplectic packing problem

Chris Dionne, Mike Roth

In this paper we compute the $r$ -point Seshadri constant on $P^{1} \times P^{1}$ for those line bundles where the answer might be expected to be governed by $(- 1)$ -curv…

Reduced Äech complexes and computing higher direct images under toric maps

Homeomorphism type of the non-negative part of a complete toric variety

Seshadri constants on P1×P1, and applications to the symplectic packing problem

Reduced Äech complexes and computing higher direct images under toric maps

Seshadri constants on $P^{1} \times P^{1}$ , and applications to the symplectic packing problem